# Class 9 Circles Quiz Set 2

1. In figure, ΔABC is an equilateral triangle and ABDC is a quadrilateral then ∠BDC =

2. If chords AB and CD of congruent circles subtend equal angles at their centres, then:

3. AB is a chord of a circle with radius ‘r’. If P is any point on the circle such that ∠APB is a right angle , then AB is equal to

4.

AD is diameter of a circle and AB is a chord. If AD = 50 cm, AB = 48 cm, then the distance of AB from the centre of the circle is

5. The radius of a circle which has a 6 cm long chord, 4 cm away from the centre of the circle is

6. In figure, O is the centre of a circle and ∠AOB = 130°, then ∠ACB =

7. The center of the circle lies in______ of the circle.

8. In the given figure, BOC is a diameter of a circle with centre O. If AB and CD are two chords such that AB || CD and AB = 10 cm, then CD =

9. In the given figure, O is the centre of a circle in which ∠OAB = 20° and ∠OCB = 50°. Then, ∠AOC =

10. A regular octagon is inscribed in a circle. The angle that each side of the octagon subtends at the centre is

11. Number of circles that can be drawn through three non-collinear points is

(i) 3

12. In the given figure, AB is a chord of a circle with centre O and AB is produced to C such that BC = OB. Also, CO is joined and produced to meet the circle in D. If ∠ACD = 25°, then ∠AOD =

13. An equilateral triangle of side 9 cm is inscribed a circle. The radius of the circle is

14. AB and CD are two equal chords of a circle with centre O such that ∠AOB = 80°, then ∠COD =

15. If there are two separate circles drawn apart from each other, then the maximum number of common points they have: